Thread: Find the maximum and minimum points on the graph

Find the maximum and minimum points on the graph of
x^2 + 4y^2 - 2x - 16y + 13 = 0

(a) Without using calculus
(b) Using Calculus

(although I'm okay if you just show me (b) using calculus..... please show how you got your answer

Hey asilvester635.

For calculus, you differentiate once and twice and solve for dy/dx = 0 and then check the sign of d^2y/dx^2 to see if its positive or negative.

Can you calculate the two derivatives (1st and 2nd) and solve for dy/dx = 0 and for those particular values of x (or (x,y) pairs), show what d^2y/dx^2 is for those values?

For part a), complete the square and write the ellipse in standard form.